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The given expression is:

\[
\frac{\left(\frac{4}{t}\right)}{\left(\frac{2}{t^2}\right)}
\]

We can simplify this step by step.

### Step 1: Rewrite the expression as a fraction division:
\[
\frac{\left(\frac{4}{t}\right)}{\left(\frac{2}{t^2}\right)} = \frac{4}{t} \times \frac{t^2}{2}
\]

### Step 2: Multiply the fractions:
\[
= \frac{4 \times t^2}{t \times 2}
\]

### Step 3: Simplify the expression:
\[
= \frac{4t^2}{2t} = 2t
\]

So, the correct answer is \( 2t \).

Let me know if you need any further details or explanations.

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Here are 5 related questions to expand your understanding:
1. How would you simplify \(\frac{6x}{3y} \times \frac{2y^2}{x^2}\)?
2. What is the difference between dividing and multiplying fractions?
3. How do you simplify algebraic expressions with exponents in both the numerator and denominator?
4. Can you solve the expression \(\frac{\left(\frac{5}{x}\right)}{\left(\frac{3}{x^3}\right)}\)?
5. What are the rules for multiplying and dividing terms with exponents?

**Tip:** When simplifying complex fractions, converting the division into multiplication by flipping the denominator helps simplify the process easily.

Which of the following is equivalent to (4/t) / (2/t^2)?

Learn how to simplify the expression (4/t) / (2/t^2) step-by-step using algebraic rules for fractions and exponents. This problem covers key concepts like fraction division and simplifying expressions with variables in the numerator and denominator. Suitable for Grades 8-10.

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